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Finding the Fourth Proportional to 589,883.94, 814,109.04 and 335,273.40

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Solution

The fourth proportional to 589,883.94, 814,109.04 and 335,273.40 is: 462,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,883.94 : 814,109.04 = 335,273.40 : x
  2. Step 2: Convert to fraction form
    589,883.94/814,109.04 = 335,273.40/x
  3. Step 3: Cross multiply
    589,883.94x = 814,109.04 × 335,273.40
  4. Step 4: Simplify right side
    589,883.94x = 272,949,105,811.54
  5. Step 5: Solve for x
    x = 272,949,105,811.54/589,883.94
  6. Step 6: Final answer
    x = 462,716.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.